What is the solution: y=x and y=-x+4

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x

y = -x + 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                x = -x + 4[Addition Property of Equality] Add x on both sides:                                    2x = 4[Division Property of Equality] Divide 2 on both sides:                                x = 2

Step 3: Solve for y

Define original equation:                                                                                y = xSubstitute in x:                                                                                                y = 2